When you graph the equations their point of intersection is (2,4).
Therefore, when y > 4, the exponential function surpasses the linear function.
The product is 35/12.
<u>Step-by-step explanation:</u>
Multiplying the fraction with a whole number, we will get,
5/12 × 7
which means that we have to multiply the numerator 5 by 7 and then divide the product by 12.
= 5×7 / 12
= 35/12
So the product is 35/12.
Answer:
![(x + 3)(x - 2)(x - 1)](https://tex.z-dn.net/?f=%28x%20%20%20%20%20%2B%20%203%29%28x%20%20%20-%20%202%29%28x%20-%201%29)
Step-by-step explanation:
![{x}^{3} - 7x + 6](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B3%7D%20%20-%207x%20%2B%206)
Factor using Rational Root Theorem.
This means our possible roots are
positve or negative (1,2,3,6). If we try positve 1, it is indeed a root.
This means that
![(x - 1)](https://tex.z-dn.net/?f=%28x%20-%201%29)
is a root.
We can divide the top equation by the root (x-1). Our new equation is
![( {x}^{2} + x - 6)](https://tex.z-dn.net/?f=%28%20%7Bx%7D%5E%7B2%7D%20%20%20%2B%20%20x%20-%206%29)
Now we can factor this completely
![(x + 3)(x - 2)](https://tex.z-dn.net/?f=%28x%20%2B%203%29%28x%20-%202%29)
So this equation in factored form is
![(x + 3)(x - 2)(x - 1)](https://tex.z-dn.net/?f=%28x%20%20%2B%203%29%28x%20-%202%29%28x%20-%201%29)
Answer:
The area of the square is 25
.
Step-by-step explanation:
In the given square, the length of the side = 5d.
Area of a square = side × side
Given: Side = 5d
Now plug in side 5d in the above area formula, we get
Area of the square = 5d × 5d
= 25![d^{2}](https://tex.z-dn.net/?f=d%5E%7B2%7D)
Therefore, the answer is 25
.
The first one because if you set it up like this
(8*12)+(9*24)=
8*12=96
9*24=216
96+216=312